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20320231232 = 2671732391097
BaseRepresentation
bin10010111011001011…
…100001111101000000
31221110011002200220202
4102323023201331000
5313103434344412
613200205024332
71316361054440
oct227313417500
957404080822
1020320231232
118688271534
123b312550a8
131bbab3a182
14daaa44120
157dde243c2
hex4bb2e1f40

20320231232 has 112 divisors (see below), whose sum is σ = 46586119680. Its totient is φ = 8614244352.

The previous prime is 20320231219. The next prime is 20320231237. The reversal of 20320231232 is 23213202302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320231237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18522908 + ... + 18524004.

Almost surely, 220320231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293059840).

20320231232 is an abundant number, since it is smaller than the sum of its proper divisors (26265888448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20320231232 is a wasteful number, since it uses less digits than its factorization.

20320231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20320231232 its reverse (23213202302), we get a palindrome (43533433534).

The spelling of 20320231232 in words is "twenty billion, three hundred twenty million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 239 346 448 478 692 956 1097 1211 1384 1673 1912 2194 2422 2768 3346 3824 4388 4844 5536 6692 7648 7679 8776 9688 11072 13384 15296 15358 17552 19376 26768 30716 35104 38752 41347 53536 61432 70208 77504 82694 107072 122864 165388 189781 245728 262183 289429 330776 379562 491456 524366 578858 661552 759124 1048732 1157716 1323104 1328467 1518248 1835281 2097464 2315432 2646208 2656934 3036496 3670562 4194928 4630864 5313868 6072992 7341124 8389856 9261728 10627736 12145984 14682248 16779712 18523456 21255472 29364496 42510944 45357659 58728992 85021888 90715318 117457984 181430636 317503613 362861272 635007226 725722544 1270014452 1451445088 2540028904 2902890176 5080057808 10160115616 20320231232